Maximum and Minimum Degree Energy of Commuting Graph for Dihedral Groups
نویسندگان
چکیده
If G is a finite group and Z(G) the centre of G, then commuting graph for denoted by ΓG, has G\Z(G) as its vertices set with two distinct vp vq are adjacent if = vp. The degree vertex
منابع مشابه
commuting and non -commuting graphs of finit groups
فرض کنیمg یک گروه غیر آبلی متناهی باشد . گراف جابجایی g که با نماد نمایش داده می شود ،گرافی است ساده با مجموعه رئوس که در آن دو راس با یک یال به هم وصل می شوند اگر و تنها اگر . مکمل گراف جابجایی g راگراف نا جابجایی g می نامیم.و با نماد نشان می دهیم. گرافهای جابجایی و ناجابجایی یک گروه متناهی ،اولین بار توسطاردوش1 مطرح گردید ،ولی در سالهای اخیر به طور مفصل در مورد بحث و بررسی قرار گرفتند . در ،م...
15 صفحه اولA Kind of Non-commuting Graph of Finite Groups
Let g be a fixed element of a finite group G. We introduce the g-noncommuting graph of G whose vertex set is whole elements of the group G and two vertices x,y are adjacent whenever [x,y] g and [y,x] g. We denote this graph by . In this paper, we present some graph theoretical properties of g-noncommuting graph. Specially, we investigate about its planarity and regularity, its clique number a...
متن کاملOn Laplacian energy of non-commuting graphs of finite groups
Let $G$ be a finite non-abelian group with center $Z(G)$. The non-commuting graph of $G$ is a simple undirected graph whose vertex set is $Gsetminus Z(G)$ and two vertices $x$ and $y$ are adjacent if and only if $xy ne yx$. In this paper, we compute Laplacian energy of the non-commuting graphs of some classes of finite non-abelian groups..
متن کاملGraph Minors and Minimum Degree
Let Dk be the class of graphs for which every minor has minimum degree at most k. Then Dk is closed under taking minors. By the Robertson-Seymour graph minor theorem, Dk is characterised by a finite family of minor-minimal forbidden graphs, which we denote by D̂k. This paper discusses D̂k and related topics. We obtain four main results: 1. We prove that every (k + 1)-regular graph with less than ...
متن کاملMinimum degree threshold for bipartite graph tiling
We answer a question of Zhao [SIAM J. Disc. Math. 23 vol.2, (2009), 888-900] that determines the minimum degree threshold for a bipartite graph G to contain an H-factor (a perfect tiling of G with H) for any bipartite graph H. We also show that this threshold is best possible up to a constant depending only on H. This result can be viewed as an analog to Kuhn and Osthus' result [Combinatorica 2...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Sains Malaysiana
سال: 2022
ISSN: ['0126-6039', '2735-0118']
DOI: https://doi.org/10.17576/jsm-2022-5112-21